The Harvard College Alcohol Study finds that 67% of college students support efforts to "crack down on underage drinking." The study took a sample of almost 15,000 students, so the population proportion who support a crackdown is very close to p = 0.67.† The administration of your college surveys an SRS of 210 students and finds that 147 support a crackdown on underage drinking.
(a) What is the sample proportion who support a crackdown on underage drinking? (Round your answer to two decimal places.)
(b) If in fact the proportion of all students on your campus who support a crackdown is the same as the national 67%, what is the probability that the proportion in an SRS of 210 students is as large or larger than the result of the administration's sample? (Use a Normal approximation with a continuity correction to approximate the probability. Round your answer to four decimal places.)
The Harvard College Alcohol Study finds that 67% of college students support efforts to "crack down...
Each year over 1,000 college students die in alcohol-related deaths, often in cases that involve binge drinking. Harvard School of Public Health reported in 2004 that 44% of college students are binge drinkers. In an informal anonymous survey conducted in a statistics class shortly after the Harvard report was released, students were asked: "In the past two weeks, have you had (males) more than five alcoholic drinks on one occasion? (females) more than four alcoholic drinks on one occasion?" [This...
The scores of individual students on the American College Testing (ACT) composite college entrance examination have a normal distribution with mean 17.3 and standard deviation 5.4. (a) What is the probability that a single student randomly chosen from all those taking the test scores 25 or higher? (b) Now take an SRS of 67 students who took the test. What are the mean and standard deviation of the average (sample mean) score for the 67 students? μ = σ =...
Based on a recent study, roughly 80% of college students in the U.S. own a smartphone. Is the proportion of smartphone owners lower at this university? Proportion of students who have a smartphone 78% (243 students) students with no smartphone 21% (67 students) State your hypotheses in symbolic form and in words. use a normal model to estimate the P-value probability. Verify that normality conditions are met. conduct the hypothesis test. Give your P-value and interpret its meaning as a...
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate the mean score μ of those who took the MCAT on your campus, you will obtain the scores of an SRS of students. The scores follow a Normal distribution, and from published information you know that the standard deviation is 10.8 . Suppose that, unknown to you, the mean score of those taking the MCAT on your campus is 495...
A group of 70 college students from a certain liberal arts college were Type numbers in the boxes. randomly sampled and asked about the number of alcoholic drinks they have 10 points in a typical week. The purpose of this study was to compare the drinking habits of the students at the college to the drinking habits of college students in general. In particular, the dean of students, who initiated this study, would like to check whether the mean number...
Students at a certain school were surveyed, and it was estimated that 27% of college students abstain from drinking alcohol. To estimate this proportion in your school, how large a random sample would you need to estimate it to within 0.09 with probability 0.99, if before conducting the study (a) you are unwilling to predict the proportion value at your school and (b) you use the results from the surveyed school as a guideline. Click here to view page 1...
A recent study found that 41% of college students engage in binge drinking (5 drinks at a sitting for men, 4 for women). After hearing of the result, a professor surveyed a random sample of 244 students at his college and found that 92 admitted to binge drinking in the last week. Should he be surprised at this result? Explain. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places...
10. A recent study of higher education measured the pro- portion of college students who work in off-campus jobs for at least 20 hours a week. Four samples, each composed of 200 randomly selected students, were used to represent four types of institutions: large four-year state schools, small four-year state schools, large four-year private schools, and small four-year private schools. In the sample of 200 students from large state schools, 30 had such an off-campus job (15%), as compared to...
A recent study found that 43% of college students engage in binge drinking (5 drinks at a sitting for men, 4 for women). After hearing of the result, a professor surveyed a random sample of 295 students at his college and found that 115 admitted to binge drinking in the last week. Should he be surprised at this result? Explain Select the correct choice below and fill in the answer box to complete your choice (Round to three decimal places...
In a study of government financial aid for college students, researchers needed to estimate the proportion of full-time college students who earn a bachelor's degree in 4 years or less. Assuming a confidence level of 90%, find the sample size needed to estimate that proportion with a 0.03 margin of error in two cases: (1) no assumptions are made about the value of the sample proportion, and (2) prior studies have shown that roughly 60% of full-time students earn a...